Traffic And Highway Engineering
5th Edition
ISBN: 9781133605157
Author: Garber, Nicholas J., Hoel, Lester A.
Publisher: Cengage Learning,
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Chapter 17, Problem 16P
To determine
Soil classification using USCS method
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A gravity retaining wall is shown in the figure below. Calculate the factor of safety with respect to overturning and sliding, given the following data:
Wall dimensions: H = 6 m, x1 = 0.6 m, x2 = 2 m, x3 = 2m,
x4 = 0.5 m, x5 = 0.75 m, x6 = 0.8 m, D= 1.5 m
Soil properties: 1 = 17.5 kN/m³, ø₁ = 32°, 12 = 18 kN/m³,
=22°, 40 kN/m²
Y₁
H
D
x2
x3
x5
X6
Use the Rankine active earth pressure in your calculation. Use Yconcrete = 23.58 kN/m³. Also, use k₁ = k₂ = 2/3 and P₁ = 0 in the equation
FS
S(sliding)
| tan(k102) + Bk₂c½ + Pp
(Σν).
Pa cos a
(Enter your answers to three significant figures.)
FS (overturning)
FS (sliding)
Q4 Use
b member
Castigliano's second theorem to determine
the structure shown
Forces
In figure below
longer than
+
In
IF
required. For all members
member EC
IS 10mm
E = 200 KN/mm²
200KN YE
FV 100 KN
A = 1800 mm² and
2
2m
3m
B
D
3m
8M
*
For the cantilever retaining wall shown in the figure below, let the following data be given:
Wall dimensions: H = 8 m, x1 = 0.4 m, x2 = 0.6 m, x3 = 1.5 m,
x4 3.5 m, x5 = 0.96 m, D= 1.75 m, a = 10°
Soil properties: ₁ = 17.3 kN/m³, 1₁ = 32°, Y2 = 17.6 kN/m³,
2=28°, c₂ = 30 kN/m²
The value of Ka is 0.3210. For 2=28°: N = 25.80; N₁ = 14.72; N₁ = 16.72.
3. Also, use k₁ = k₂ = 2/3 and Pp = 0 in the equation
Calculate the factor of safety with respect to overturning, sliding, and bearing capacity. Use concrete = 24.58 kN/m³. A
FS (sliding)
(V) tan(k₁₂) + Bk₂c½₂ + Pp
Pa cos a
(Enter your answers to three significant figures.)
FS
(overturning)
FS(sliding)
FS
(bearing)
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